Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 766, 191, 764, 343 i.e. 100365916 smallest integer divisible by all numbers.
Least common multiple (LCM) of 766, 191, 764, 343 is 100365916.
LCM(766, 191, 764, 343) = 100365916
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 766, 191, 764, 343 |
191 | 383, 191, 382, 343 |
383, 1, 2, 343 |
∴ So the LCM of the given numbers is 2 x 191 x 383 x 1 x 2 x 343 = 100365916
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 766,191,764,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,191,764,343) = 1
common factors(in case of two or more numbers have common factors) = 382
GCF(766,191,764,343) x common factors =1 x 382 = 382
LCM(766,191,764,343) = ( 766 × 191 × 764 × 343 ) / 382
LCM(766,191,764,343) = 38339779912 / 382
LCM(766,191,764,343) = 100365916
∴ Least Common Multiple of 766,191,764,343 is 100365916
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 191, 764, 343?
Answer: LCM of 766, 191, 764, 343 is 100365916.
2. What are the Factors of 100365916?
Answer: Factors of 100365916 are . There are integers that are factors of 100365916
3. How to Find the LCM of 766, 191, 764, 343 ?
Least Common Multiple of 766, 191, 764, 343.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(766, 191, 764, 343) = 2 x 2 x 7 x 7 x 7 x 191 x 383 = 100365916.